Abstract The process of heat transfer by conduction is relevant in different context of engineering. Quantify temperature is very important in energy efficiency of firing process. The aim of this work is to establish a mathematical model to determine the firing process at the burner door of the Hoffman kiln of Ladrillera Ocaña, Colombia. For the data acquisition, a virtual instrument was designed for the temperature data collection system. The analytical solution proposed for the model presents a high degree of difficulty. As an alternative, two solution schemes are proposed using numerical methods that are very close to the theoretical model.